Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 908, 706, 145, 875 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 706, 145, 875 is 1
GCD(908, 706, 145, 875) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 706, 145, 875 is 1
GCD(908, 706, 145, 875) = 1
Given Input numbers are 908, 706, 145, 875
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Greatest Common Divisior
We found the divisors of 908, 706, 145, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 706, 145, 875 is 1.
Therefore, GCD of numbers 908, 706, 145, 875 is 1
Given Input Data is 908, 706, 145, 875
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 706 is 2 x 353
Prime Factorization of 145 is 5 x 29
Prime Factorization of 875 is 5 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(908, 706) = 320524
GCD(908, 706) = ( 908 x 706 ) / 320524
GCD(908, 706) = 641048 / 320524
GCD(908, 706) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
GCD(2, 145) = 290 / 290
GCD(2, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 875) = 875
GCD(1, 875) = ( 1 x 875 ) / 875
GCD(1, 875) = 875 / 875
GCD(1, 875) = 1
GCD of 908, 706, 145, 875 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 706, 145, 875?
GCD of 908, 706, 145, 875 is 1
2. Where do I get the detailed procedure to find GCD of 908, 706, 145, 875?
You can find a detailed procedure to find GCD of 908, 706, 145, 875 on our page.
3. How to find GCD of 908, 706, 145, 875 on a calculator?
You can find the GCD of 908, 706, 145, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.